Respuesta :
Answer:
If the expression is [tex]4x^\frac{3}{7}[/tex], then the answer is the first option.
If the expression is [tex](4x)^\frac{3}{7}[/tex], then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form [tex]\sqrt[n]{x}[/tex], you can rewrite as:
[tex]=x^\frac{1}{n}[/tex]
Then:
- If the expression is [tex]4x^\frac{3}{7}[/tex], then you can rewrite it in the following radical form:
[tex]=4\sqrt[7]{x^3}[/tex] (This form matches with the first option.)
- If the expression is [tex](4x)^\frac{3}{7}[/tex], then you can rewrite it in the following radical form:
[tex]=\sqrt[7]{(4x)^3}[/tex] (This form matches with the third option).